On the convergence of the Newton-GMBACK method

Abstract

When the GMBACK solver is used in the Newton iterates, the iterates may be written either as inexact Newton iterates or as quasi-Newton iterates. In this paper present results which assure the local convergence of the iterates in the both settings.

Authors

Emil Catinas
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Keywords

linear systems; Krylov solvers; GMBACK; backward error.

Cite this paper as:

E. Catinas, On the convergence of the Newton-GMBACK method. 2007 International Conference on Engineering and Mathematics, Bilbabo, July 9-11, 2007, pp.11-14.

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